Exact quantum and semiclassical calculation of the positions and residues or Regge poles for interatomic potentials

Calculation of angular distributions in complex angular momentum theories of elastic scattering

“…As noted previously, the expression (14) and (15) differs from the corresponding formula in [21] in certain of its signs and in the equation for R 4.…”

“…Equations (14) and (15) are used in w 4 to calculate accurate values for Pv(-cos 0). The number of terms needed in the summation depends strongly on v and 0.…”

“…The CERN subroutine can also be used for the exact results of w 4. Downloaded by [New York University] at 00: 23 21 July 2015 However, this subroutine is not widely available whereas equations (14) and (15) are readily programmed on a computer. The CERN subroutine took 0.029 s to calculate [P~(-cos 0)[' at 35 angles for v= (3.0, 3.0) on the CDC 7600 computer at the University of Manchester Regional Computer Centre.…”

“…In many applications of complex angular momentum techniques [15][16][17], Im v>> 1. For this case, the first term in equation (24) …”

“…(-cos 0), and to approximate the background integral [10][11][12][13][14][15][16][17]38]. We are concerned in this paper with the calculation of Pz.…”